The Seeding tracking algorithm for a scintillating detector at LHCb

The project of the LHCb upgraded detector foreseens the presence of a Scintillating Fiber Tracker (SciFi). This note describes the algorithm used for reconstructing standalone tracks in the SciFi, called $Seeding$. This algorithm is crucial for reconstructing tracks generated by long lived particles such as $K^0_s$. The main performances on simulated samples for running conditions expected in future data taking after the upgrade, namely a luminosity larger than $\mathcal{L} = 2 \times 10^{33} cm^{-2}s^{1}$, are also discussed.